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Materials Data on Pr2AlFe16 by Materials Project

Pr2Fe16Al crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 10-coordinate geometry to nineteen Fe atoms. There are a spread of Pr–Fe bond distances ranging from 3.06–3.31 Å. In the second Pr site, Pr is bonded in a 10-coordinate geometry to eighteen Fe and one Al atom. There are a spread of Pr–Fe bond distances ranging from 3.08–3.33 Å. The Pr–Al bond length is 3.13 Å. There are five inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to two Pr, nine Fe, and one Al atom. There are a spread of Fe–Fe bond distances ranging from 2.43–2.74 Å. The Fe–Al bond length is 2.71 Å. In the second Fe site, Fe is bonded to two Pr, nine Fe, and one Al atom to form distorted FePr2AlFe9 cuboctahedra that share corners with fourteen FePr3AlFe8 cuboctahedra, edges with six FePr3AlFe8 cuboctahedra, and faces with ten FePr2AlFe9 cuboctahedra. There are four shorter (2.46 Å) and one longer (2.61 Å) Fe–Fe bond lengths. The Fe–Al bond length is 2.63 Å. In the third Fe site, Fe is bonded to three Pr, eight Fe, and one Al atom to form FePr3AlFe8 cuboctahedra that share corners with fifteen FePr2AlFe9 cuboctahedra, edges with eight FePr3AlFe8 cuboctahedra, and faces with ten FePr2AlFe9 cuboctahedra. Both Fe–Fe bond lengths are 2.50 Å. The Fe–Al bond length is 2.65 Å. In the fourth Fe site, Fe is bonded to three Pr and nine Fe atoms to form FePr3Fe9 cuboctahedra that share corners with fifteen FePr2AlFe9 cuboctahedra, edges with eight FePr3AlFe8 cuboctahedra, and faces with ten FePr2AlFe9 cuboctahedra. The Fe–Fe bond length is 2.64 Å. In the fifth Fe site, Fe is bonded in a 1-coordinate geometry to one Pr, twelve Fe, and one Al atom. The Fe–Al bond length is 2.43 Å. Al is bonded in a 1-coordinate geometry to one Pr and thirteen Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr7C3Br10 by Materials Project

Pr7C3Br10 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seven inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded to two C+3.67- and five Br1- atoms to form PrC2Br5 pentagonal bipyramids that share a cornercorner with one PrCBr5 octahedra, corners with two equivalent PrC2Br5 pentagonal bipyramids, an edgeedge with one PrC4Br4 hexagonal bipyramid, edges with three PrCBr5 octahedra, an edgeedge with one PrC2Br5 pentagonal bipyramid, a faceface with one PrC4Br4 hexagonal bipyramid, and a faceface with one PrC2Br5 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 3°. There are one shorter (2.61 Å) and one longer (2.62 Å) Pr–C bond lengths. There are a spread of Pr–Br bond distances ranging from 2.97–3.21 Å. In the second Pr3+ site, Pr3+ is bonded to four C+3.67- and four Br1- atoms to form distorted PrC4Br4 hexagonal bipyramids that share a cornercorner with one PrC4Br4 hexagonal bipyramid, an edgeedge with one PrC4Br4 hexagonal bipyramid, edges with four PrCBr5 octahedra, edges with two equivalent PrC2Br5 pentagonal bipyramids, faces with two equivalent PrC4Br4 hexagonal bipyramids, and a faceface with one PrC2Br5 pentagonal bipyramid. There are a spread of Pr–C bond distances ranging from 2.70–2.74 Å. There are a spread of Pr–Br bond distances ranging from 3.10–3.20 Å. In the third Pr3+ site, Pr3+ is bonded to four C+3.67- and four Br1- atoms to form distorted PrC4Br4 hexagonal bipyramids that share a cornercorner with one PrC4Br4 hexagonal bipyramid, a cornercorner with one PrCBr5 octahedra, a cornercorner with one PrC2Br5 pentagonal bipyramid, edges with two equivalent PrC4Br4 hexagonal bipyramids, edges with four PrCBr5 octahedra, an edgeedge with one PrC2Br5 pentagonal bipyramid, faces with two equivalent PrC4Br4 hexagonal bipyramids, and a faceface with one PrC2Br5 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 6°. There are a spread of Pr–C bond distances ranging from 2.67–2.72 Å. There are a spread of Pr–Br bond distances ranging from 3.12–3.19 Å. In the fourth Pr3+ site, Pr3+ is bonded to one C+3.67- and five Br1- atoms to form distorted PrCBr5 octahedra that share a cornercorner with one PrC2Br5 pentagonal bipyramid, edges with four PrC4Br4 hexagonal bipyramids, and edges with three PrCBr5 octahedra. The Pr–C bond length is 2.30 Å. There are a spread of Pr–Br bond distances ranging from 2.99–3.31 Å. In the fifth Pr3+ site, Pr3+ is bonded to one C+3.67- and five Br1- atoms to form PrCBr5 octahedra that share edges with two PrC4Br4 hexagonal bipyramids, edges with two PrCBr5 octahedra, and edges with four PrC2Br5 pentagonal bipyramids. The Pr–C bond length is 2.32 Å. There are a spread of Pr–Br bond distances ranging from 3.00–3.19 Å. In the sixth Pr3+ site, Pr3+ is bonded to two C+3.67- and five Br1- atoms to form distorted PrC2Br5 pentagonal bipyramids that share a cornercorner with one PrC4Br4 hexagonal bipyramid, a cornercorner with one PrCBr5 octahedra, corners with two equivalent PrC2Br5 pentagonal bipyramids, edges with two equivalent PrC4Br4 hexagonal bipyramids, edges with three PrCBr5 octahedra, a faceface with one PrC4Br4 hexagonal bipyramid, and a faceface with one PrC2Br5 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 8°. There are one shorter (2.61 Å) and one longer (2.62 Å) Pr–C bond lengths. There are a spread of Pr–Br bond distances ranging from 2.97–3.20 Å. In the seventh Pr3+ site, Pr3+ is bonded to one C+3.67- and five Br1- atoms to form PrCBr5 octahedra that share a cornercorner with one PrC4Br4 hexagonal bipyramid, a cornercorner with one PrC2Br5 pentagonal bipyramid, edges with two PrC4Br4 hexagonal bipyramids, edges with three PrCBr5 octahedra, and edges with two PrC2Br5 pentagonal bipyramids. The Pr–C bond length is 2.31 Å. There are a spread of Pr–Br bond distances ranging from 2.93–3.25 Å. There are three inequivalent C+3.67- sites. In the first C+3.67- site, C+3.67- is bonded in a 6-coordinate geometry to five Pr3+ and one C+3.67- atom. The C–C bond length is 1.40 Å. In the second C+3.67- site, C+3.67- is bonded in a 6-coordinate geometry to five Pr3+ and one C+3.67- atom. The C–C bond length is 1.40 Å. In the third C+3.67- site, C+3.67- is bonded in a 6-coordinate geometry to five Pr3+ and one C+3.67- atom. There are ten inequivalent Br1- sites. In the first Br1- site, Br1- is bonded in a distorted T-shaped geometry to three Pr3+ atoms. In the second Br1- site, Br1- is bonded in a 3-coordinate geometry to three Pr3+ atoms. In the third Br1- site, Br1- is bonded in a distorted T-shaped geometry to three Pr3+ atoms. In the fourth Br1- site, Br1- is bonded in a distorted T-shaped geometry to three Pr3+ atoms. In the fifth Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to four Pr3+ atoms. In the sixth Br1- site, Br1- is bonded in a 3-coordinate geometry to three Pr3+ atoms. In the seventh Br1- site, Br1- is bonded in a distorted T-shaped geometry to three Pr3+ atoms. In the eighth Br1- site, Br1- is bonded in a 3-coordinate geometry to three Pr3+ atoms. In the ninth Br1- site, Br1- is bonded in a distorted square co-planar geometry to four Pr3+ atoms. In the tenth Br1- site, Br1- is bonded in a distorted rectangular see-saw-like geometry to four Pr3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr2(CoNi)5 by Materials Project

Pr2(CoNi)5 crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 6-coordinate geometry to six Co and twelve Ni atoms. All Pr–Co bond lengths are 2.88 Å. All Pr–Ni bond lengths are 3.19 Å. In the second Pr site, Pr is bonded in a 6-coordinate geometry to ten Co and eight equivalent Ni atoms. There are a spread of Pr–Co bond distances ranging from 2.87–3.19 Å. All Pr–Ni bond lengths are 3.19 Å. There are three inequivalent Co sites. In the first Co site, Co is bonded in a 12-coordinate geometry to three Pr, two equivalent Co, and four equivalent Ni atoms. Both Co–Co bond lengths are 2.45 Å. All Co–Ni bond lengths are 2.45 Å. In the second Co site, Co is bonded in a 12-coordinate geometry to three Pr and six Ni atoms. All Co–Ni bond lengths are 2.45 Å. In the third Co site, Co is bonded to four equivalent Pr, four equivalent Co, and four equivalent Ni atoms to form CoPr4Co4Ni4 cuboctahedra that share corners with four equivalent CoPr4Co4Ni4 cuboctahedra, corners with twelve NiPr4Co5Ni3 cuboctahedra, edges with two equivalent CoPr4Co4Ni4 cuboctahedra, edges with eight equivalent NiPr4Co5Ni3 cuboctahedra, faces with two equivalent CoPr4Co4Ni4 cuboctahedra, and faces with eight equivalent NiPr4Co5Ni3 cuboctahedra. All Co–Ni bond lengths are 2.49 Å. There are two inequivalent Ni sites. In the first Ni site, Ni is bonded to four equivalent Pr, four equivalent Co, and four equivalent Ni atoms to form NiPr4Co4Ni4 cuboctahedra that share corners with four equivalent CoPr4Co4Ni4 cuboctahedra, corners with twelve NiPr4Co5Ni3 cuboctahedra, edges with ten NiPr4Co5Ni3 cuboctahedra, and faces with ten NiPr4Co4Ni4 cuboctahedra. All Ni–Ni bond lengths are 2.49 Å. In the second Ni site, Ni is bonded to four Pr, five Co, and three Ni atoms to form NiPr4Co5Ni3 cuboctahedra that share corners with two equivalent CoPr4Co4Ni4 cuboctahedra, corners with fourteen NiPr4Co4Ni4 cuboctahedra, edges with two equivalent CoPr4Co4Ni4 cuboctahedra, edges with eight NiPr4Co4Ni4 cuboctahedra, faces with two equivalent CoPr4Co4Ni4 cuboctahedra, and faces with eight NiPr4Co4Ni4 cuboctahedra. Both Ni–Ni bond lengths are 2.49 Å.

36 MATERIALS SCIENCE↗

Materials Data on Pr2Ga7Ni by Materials Project

Pr2NiGa7 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 12-coordinate geometry to four equivalent Ni and twelve Ga atoms. All Pr–Ni bond lengths are 3.35 Å. There are a spread of Pr–Ga bond distances ranging from 3.17–3.32 Å. In the second Pr site, Pr is bonded in a 8-coordinate geometry to sixteen Ga atoms. There are a spread of Pr–Ga bond distances ranging from 3.23–3.55 Å. Ni is bonded in a 5-coordinate geometry to four equivalent Pr and five Ga atoms. There are one shorter (2.32 Å) and four longer (2.39 Å) Ni–Ga bond lengths. There are five inequivalent Ga sites. In the first Ga site, Ga is bonded in a 2-coordinate geometry to four Pr, two equivalent Ni, and two equivalent Ga atoms. Both Ga–Ga bond lengths are 2.65 Å. In the second Ga site, Ga is bonded to four Pr and eight Ga atoms to form a mixture of distorted corner and face-sharing GaPr4Ga8 cuboctahedra. There are a spread of Ga–Ga bond distances ranging from 2.58–3.04 Å. In the third Ga site, Ga is bonded in a 9-coordinate geometry to four equivalent Pr and five Ga atoms. The Ga–Ga bond length is 2.48 Å. In the fourth Ga site, Ga is bonded in a 9-coordinate geometry to four equivalent Pr and five Ga atoms. In the fifth Ga site, Ga is bonded in a 1-coordinate geometry to four equivalent Pr, one Ni, and four equivalent Ga atoms.

36 MATERIALS SCIENCE↗

Materials Data on PrSiPt by Materials Project

PrPtSi is hexagonal omega structure-derived structured and crystallizes in the tetragonal I4_1md space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded to six Pt and six equivalent Si atoms to form a mixture of edge and face-sharing PrSi6Pt6 cuboctahedra. There are two shorter (3.17 Å) and four longer (3.26 Å) Pr–Pt bond lengths. There are four shorter (3.22 Å) and two longer (3.25 Å) Pr–Si bond lengths. In the second Pr site, Pr is bonded to six equivalent Pt and six equivalent Si atoms to form a mixture of edge and face-sharing PrSi6Pt6 cuboctahedra. There are two shorter (3.17 Å) and four longer (3.26 Å) Pr–Pt bond lengths. There are four shorter (3.22 Å) and two longer (3.25 Å) Pr–Si bond lengths. There are three inequivalent Pt sites. In the first Pt site, Pt is bonded in a 3-coordinate geometry to six equivalent Pr and three equivalent Si atoms. There are two shorter (2.43 Å) and one longer (2.44 Å) Pt–Si bond lengths. In the second Pt site, Pt is bonded in a 3-coordinate geometry to six equivalent Pr and three equivalent Si atoms. There are two shorter (2.43 Å) and one longer (2.44 Å) Pt–Si bond lengths. In the third Pt site, Pt is bonded in a 3-coordinate geometry to six Pr and three equivalent Si atoms. Both Pt–Pr bond lengths are 3.17 Å. There are two shorter (2.43 Å) and one longer (2.44 Å) Pt–Si bond lengths. Si is bonded in a distorted trigonal planar geometry to six equivalent Pr and three Pt atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr4(MoO2)9 by Materials Project

Mo(Pr10Mo22O45)2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional and consists of two molybdenum molecules and one Pr10Mo22O45 framework. In the Pr10Mo22O45 framework, there are fourteen inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pr–O bond distances ranging from 2.34–2.79 Å. In the second Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.33–2.88 Å. In the third Pr3+ site, Pr3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Pr–O bond distances ranging from 2.30–2.49 Å. In the fourth Pr3+ site, Pr3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Pr–O bond distances ranging from 2.27–2.51 Å. In the fifth Pr3+ site, Pr3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pr–O bond distances ranging from 2.34–3.01 Å. In the sixth Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.40–3.07 Å. In the seventh Pr3+ site, Pr3+ is bonded in a 5-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.40–3.04 Å. In the eighth Pr3+ site, Pr3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pr–O bond distances ranging from 2.33–3.01 Å. In the ninth Pr3+ site, Pr3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Pr–O bond distances ranging from 2.38–2.73 Å. In the tenth Pr3+ site, Pr3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pr–O bond distances ranging from 2.37–2.96 Å. In the eleventh Pr3+ site, Pr3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pr–O bond distances ranging from 2.39–2.95 Å. In the twelfth Pr3+ site, Pr3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pr–O bond distances ranging from 2.42–3.00 Å. In the thirteenth Pr3+ site, Pr3+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.30–2.88 Å. In the fourteenth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.34–2.91 Å. There are twenty-seven inequivalent Mo+2.67+ sites. In the first Mo+2.67+ site, Mo+2.67+ is bonded to five O2- atoms to form corner-sharing MoO5 square pyramids. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Mo–O bond distances ranging from 2.13–2.20 Å. In the second Mo+2.67+ site, Mo+2.67+ is bonded to five O2- atoms to form corner-sharing MoO5 square pyramids. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Mo–O bond distances ranging from 2.13–2.20 Å. In the third Mo+2.67+ site, Mo+2.67+ is bonded to five O2- atoms to form MoO5 square pyramids that share corners with two equivalent MoO6 octahedra and corners with two equivalent MoO5 square pyramids. The corner-sharing octahedral tilt angles are 51°. There are a spread of Mo–O bond distances ranging from 2.08–2.18 Å. In the fourth Mo+2.67+ site, Mo+2.67+ is bonded to five O2- atoms to form MoO5 square pyramids that share corners with two MoO6 octahedra and corners with two MoO5 square pyramids. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Mo–O bond distances ranging from 2.10–2.18 Å. In the fifth Mo+2.67+ site, Mo+2.67+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Mo–O bond distances ranging from 2.05–2.15 Å. In the sixth Mo+2.67+ site, Mo+2.67+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Mo–O bond distances ranging from 2.06–2.13 Å. In the seventh Mo+2.67+ site, Mo+2.67+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are two shorter (2.15 Å) and two longer (2.16 Å) Mo–O bond lengths. In the eighth Mo+2.67+ site, Mo+2.67+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Mo–O bond distances ranging from 2.10–2.17 Å. In the ninth Mo+2.67+ site, Mo+2.67+ is bonded to five O2- atoms to form MoO5 square pyramids that share corners with three MoO5 square pyramids, an edgeedge with one MoO6 octahedra, and an edgeedge with one MoO5 square pyramid. There are a spread of Mo–O bond distances ranging from 2.13–2.17 Å. In the tenth Mo+2.67+ site, Mo+2.67+ is bonded to five O2- atoms to form MoO5 square pyramids that share corners with three MoO5 square pyramids, an edgeedge with one MoO6 octahedra, and an edgeedge with one MoO5 square pyramid. There are a spread of Mo–O bond distances ranging from 2.09–2.19 Å. In the eleventh Mo+2.67+ site, Mo+2.67+ is bonded to five O2- atoms to form MoO5 square pyramids that share corners with three MoO5 square pyramids, an edgeedge with one MoO6 octahedra, and an edgeedge with one MoO5 square pyramid. There are a spread of Mo–O bond distances ranging from 2.11–2.21 Å. In the twelfth Mo+2.67+ site, Mo+2.67+ is bonded to five O2- atoms to form MoO5 square pyramids that share corners with two MoO5 square pyramids and an edgeedge with one MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.03–2.17 Å. In the thirteenth Mo+2.67+ site, Mo+2.67+ is bonded to five O2- atoms to form MoO5 square pyramids that share corners with two equivalent MoO5 square pyramids and an edgeedge with one MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.05–2.16 Å. In the fourteenth Mo+2.67+ site, Mo+2.67+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Mo–O bond distances ranging from 2.11–2.15 Å. In the fifteenth Mo+2.67+ site, Mo+2.67+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Mo–O bond distances ranging from 2.10–2.14 Å. In the sixteenth Mo+2.67+ site, Mo+2.67+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Mo–O bond distances ranging from 2.10–2.15 Å. In the seventeenth Mo+2.67+ site, Mo+2.67+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO5 square pyramid and edges with four MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.10–2.26 Å. In the eighteenth Mo+2.67+ site, Mo+2.67+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO5 square pyramid and edges with four MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.06–2.24 Å. In the nineteenth Mo+2.67+ site, Mo+2.67+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO5 square pyramid and edges with four MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.06–2.24 Å. In the twentieth Mo+2.67+ site, Mo+2.67+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two MoO5 square pyramids, edges with two MoO6 octahedra, and edges with three MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.05–2.17 Å. In the twenty-first Mo+2.67+ site, Mo+2.67+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO5 square pyramids, edges with two equivalent MoO6 octahedra, and edges with three MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.10–2.17 Å. In the twenty-second Mo+2.67+ site, Mo+2.67+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are two shorter (2.09 Å) and one longer (2.15 Å) Mo–O bond lengths. In the twenty-third Mo+2.67+ site, Mo+2.67+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two MoO5 square pyramids and edges with four MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.09–2.15 Å. In the twenty-fourth Mo+2.67+ site, Mo+2.67+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO5 square pyramids and edges with four MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.12–2.17 Å. In the twenty-fifth Mo+2.67+ site, Mo+2.67+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Mo–O bond distances ranging from 2.06–2.21 Å. In the twenty-sixth Mo+2.67+ site, Mo+2.67+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Mo–O bond distances ranging from 2.05–2.21 Å. In the twenty-seventh Mo+2.67+ site, Mo+2.67+ is bonded to six O2- atoms to form edge-sharing MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.14–2.18 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to three Pr3+ and two Mo+2.67+ atoms. In the second O2- site, O2- is bonded in a 5-coordinate geometry to three Pr3+ and two Mo+2.67+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Pr3+ and two Mo+2.67+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Mo+2.67+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Pr3+ and three Mo+2.67+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Mo+2.67+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Mo+2.67+ atoms. In the eighth O2- site, O2- is bonded to one Pr3+ and three Mo+2.67+ atoms to form distorted corner-sharing OPrMo3 tetrahedra. In the ninth O2- site, O2- is bonded to one Pr3+ and three Mo+2.67+ atoms to form distorted OPrMo3 tetrahedra that share corners with three OPr4 tetrahedra and edges with two equivalent OPr2Mo2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Pr3+ and two Mo+2.67+ atoms. In the eleventh O2- site, O2- is bonded to two Pr3+ and two Mo+2.67+ atoms to form distorted OPr2Mo2 tetrahedra that share corners with two equivalent OPr4 tetrahedra, corners with two OPrMo3 trigonal pyramids, and an edgeedge with one OPr2Mo2 tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Pr3+ and two Mo+2.67+ atoms. In the thirteenth O2- site, O2- is bonded to four Pr3+ atoms to form corner-sharing OPr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Pr3+ atoms to form OPr4 tetrahedra that share corners with four OPrMo3 tetrahedra and corners with two equivalent OPr2Mo2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to three Pr3+ atoms. In the sixteenth O2- site, O2- is bonded to four Pr3+ atoms to form corner-sharing OPr4 tetrahedra. In the seventeenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Pr3+ and two Mo+2.67+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Pr3+ and two Mo+2.67+ atoms. In the nineteenth O2- site, O2- is bonded to two Pr3+ and two Mo+2.67+ atoms to form distorted OPr2Mo2 trigonal pyramids that share corners with four OPr2Mo2 tetrahedra, an edgeedge with one OPrMo3 tetrahedra, and an edgeedge with one OPr2Mo2 trigonal pyramid. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Pr3+ and two Mo+2.67+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Pr3+ and two Mo+2.67+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Pr3+ and two Mo+2.67+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted T-shaped geometry to three Mo+2.67+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to one Pr3+ and three Mo+2.67+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Pr3+ and three Mo+2.67+ atoms. In the twenty-sixth O2- si

36 MATERIALS SCIENCE↗

Materials Data on Pr2Co16Cu by Materials Project

Pr2Co16Cu crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 4-coordinate geometry to nineteen Co atoms. There are a spread of Pr–Co bond distances ranging from 2.92–3.22 Å. In the second Pr site, Pr is bonded in a 4-coordinate geometry to eighteen Co and one Cu atom. There are a spread of Pr–Co bond distances ranging from 3.02–3.28 Å. The Pr–Cu bond length is 2.98 Å. There are five inequivalent Co sites. In the first Co site, Co is bonded in a 12-coordinate geometry to two Pr, nine Co, and one Cu atom. There are a spread of Co–Co bond distances ranging from 2.37–2.70 Å. The Co–Cu bond length is 2.67 Å. In the second Co site, Co is bonded to three Pr, eight Co, and one Cu atom to form CoPr3Co8Cu cuboctahedra that share corners with fifteen CoPr3Co8Cu cuboctahedra, edges with eight CoPr2Co9Cu cuboctahedra, and faces with ten CoPr3Co8Cu cuboctahedra. There are two shorter (2.45 Å) and two longer (2.48 Å) Co–Co bond lengths. The Co–Cu bond length is 2.61 Å. In the third Co site, Co is bonded to three Pr and nine Co atoms to form CoPr3Co9 cuboctahedra that share corners with fifteen CoPr3Co8Cu cuboctahedra, edges with eight CoPr2Co9Cu cuboctahedra, and faces with ten CoPr3Co8Cu cuboctahedra. There are two shorter (2.41 Å) and one longer (2.57 Å) Co–Co bond lengths. In the fourth Co site, Co is bonded to two Pr, nine Co, and one Cu atom to form distorted CoPr2Co9Cu cuboctahedra that share corners with fourteen CoPr2Co9Cu cuboctahedra, edges with six CoPr3Co8Cu cuboctahedra, and faces with ten CoPr3Co8Cu cuboctahedra. The Co–Co bond length is 2.53 Å. The Co–Cu bond length is 2.60 Å. In the fifth Co site, Co is bonded in a 2-coordinate geometry to one Pr, twelve Co, and one Cu atom. The Co–Cu bond length is 2.45 Å. Cu is bonded in a 2-coordinate geometry to one Pr and thirteen Co atoms.

36 MATERIALS SCIENCE↗

Validation of TRMM Precipitation Radar Through Comparison of its Multi-Year Measurements to Ground-Based Radar

A procedure to accurately resample spaceborne and ground-based radar data is described, and then applied to the measurements taken from the Tropical Rainfall Measuring Mission (TRMM) Precipitation Radar (PR) and the ground-based Weather Surveillance Radar-1988 Doppler (WSR-88D or WSR) for the validation of the PR measurements and estimates. Through comparisons with the well-calibrated, non-attenuated WSR at Melbourne, Florida for the period 1998-2007, the calibration of the Precipitation Radar (PR) aboard the TRMM satellite is checked using measurements near the storm top. Analysis of the results indicates that the PR, after taking into account differences in radar reflectivity factors between the PR and WSR, has a small positive bias of 0.8 dB relative to the WSR, implying a soundness of the PR calibration in view of the uncertainties involved in the comparisons. Comparisons between the PR and WSR reflectivities are also made near the surface for evaluation of the attenuation-correction procedures used in the PR algorithms. It is found that the PR attenuation is accurately corrected in stratiform rain but is underestimated in convective rain, particularly in heavy rain. Tests of the PR estimates of rainfall rate are conducted through comparisons in the overlap area between the TRMM overpass and WSR scan. Analyses of the data are made both on a conditional basis, in which the instantaneous rain rates are compared only at those pixels where both the PR and WSR detect rain, and an unconditional basis, in which the area-averaged rain rates are estimated independently for the PR and WSR. Results of the conditional rain comparisons show that the PR-derived rain is about 9% greater and 19% less than the WSR estimates for stratiform and convective storms, respectively. Overall, the PR tends to underestimate the conditional mean rain rate by 8% for all rain categories, a finding that conforms to the results of the area-averaged rain (unconditional) comparisons.

Liao, Liang↗

Sensitivity of Spaceborne and Ground Radar Comparison Results to Data Analysis Methods and Constraints

With the availability of active weather radar observations from space from the Precipitation Radar (PR) on board the Tropical Rainfall Measuring Mission (TR.MM) satellite, numerous studies have been performed comparing PR reflectivity and derived rain rates to similar observations from ground-based weather radars (GR). These studies have used a variety of algorithms to compute matching PR and GR volumes for comparison. Most studies have used a fixed 3-dimensional Cartesian grid centered on the ground radar, onto which the PR and GR data are interpolated using a proprietary approach and/or commonly available GR analysis software (e.g., SPRINT, REORDER). Other studies have focused on the intersection of the PR and GR viewing geometries either explicitly or using a hybrid of the fixed grid and PR/GR common fields of view. For the Dual-Frequency Precipitation Radar (DPR) of the upcoming Global Precipitation Measurement (GPM) mission, a prototype DPR/GR comparison algorithm based on similar TRMM PR data has been developed that defines the common volumes in terms of the geometric intersection of PR and GR rays, where smoothing of the PR and GR data are minimized and no interpolation is performed. The PR and GR volume-averaged reflectivity values of each sample volume are accompanied by descriptive metadata, for attributes including the variability and maximum of the reflectivity within the sample volume, and the fraction of range gates in the sample average having reflectivity values above an adjustable detection threshold (typically taken to be 18 dBZ for the PR). Sample volumes are further characterized by rain type (Stratiform or Convective), proximity to the melting layer, underlying surface (land/water/mixed), and the time difference between the PR and GR observations. The mean reflectivity differences between the PR and GR can differ between data sets produced by the different analysis methods; and for the GPM prototype, by the type of constraints and categorization applied to the data. In this paper, we will show results comparing the 3-D gridded analysis "black box" approach to the GPM prototype volume-matching approach, using matching TRMM PR and WSR-88D ground radar data. The affects of applying data constraints and data categorizations on the volume-matched data to the results will be shown, and explanations of the differences in terms of data and analysis algorithm characteristics will be presented. Implications of the differences to the determination of PR/DPR calibration differences and use of ground radar data to evaluate the PR and DPR attenuation correction algorithms will be discussed.

Morris, Kenneth R.↗

Materials Data on Pr3(NiGe)4 by Materials Project

Pr3(NiGe)4 crystallizes in the orthorhombic Immm space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded to eight equivalent Ni and four equivalent Ge atoms to form a mixture of edge and face-sharing PrNi8Ge4 cuboctahedra. All Pr–Ni bond lengths are 3.18 Å. All Pr–Ge bond lengths are 3.19 Å. In the second Pr site, Pr is bonded in a 6-coordinate geometry to six Ni and eight Ge atoms. There are two shorter (3.17 Å) and four longer (3.19 Å) Pr–Ni bond lengths. There are a spread of Pr–Ge bond distances ranging from 3.18–3.22 Å. There are two inequivalent Ni sites. In the first Ni site, Ni is bonded in a 2-coordinate geometry to six Pr, one Ni, and two equivalent Ge atoms. The Ni–Ni bond length is 2.40 Å. Both Ni–Ge bond lengths are 2.40 Å. In the second Ni site, Ni is bonded in a 9-coordinate geometry to four equivalent Pr and five Ge atoms. There are a spread of Ni–Ge bond distances ranging from 2.40–2.43 Å. There are two inequivalent Ge sites. In the first Ge site, Ge is bonded in a 4-coordinate geometry to four equivalent Pr and four equivalent Ni atoms. In the second Ge site, Ge is bonded in a 3-coordinate geometry to six Pr and three Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr5Ge4 by Materials Project

Pr5Ge4 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are three inequivalent Pr sites. In the first Pr site, Pr is bonded in a 6-coordinate geometry to six Ge atoms. There are a spread of Pr–Ge bond distances ranging from 3.00–3.27 Å. In the second Pr site, Pr is bonded in a 7-coordinate geometry to seven Ge atoms. There are a spread of Pr–Ge bond distances ranging from 3.10–3.82 Å. In the third Pr site, Pr is bonded to six Ge atoms to form corner-sharing PrGe6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Pr–Ge bond distances ranging from 3.12–3.32 Å. There are three inequivalent Ge sites. In the first Ge site, Ge is bonded in a 9-coordinate geometry to eight Pr and one Ge atom. The Ge–Ge bond length is 2.72 Å. In the second Ge site, Ge is bonded in a 7-coordinate geometry to eight Pr atoms. In the third Ge site, Ge is bonded in a 9-coordinate geometry to eight Pr and one Ge atom.

36 MATERIALS SCIENCE↗

Materials Data on Pr4RuI5 by Materials Project

Pr4RuI5 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 6-coordinate geometry to one Ru and five I atoms. The Pr–Ru bond length is 2.69 Å. There are a spread of Pr–I bond distances ranging from 3.26–3.61 Å. In the second Pr site, Pr is bonded to two equivalent Ru and four I atoms to form a mixture of edge and corner-sharing PrRu2I4 octahedra. The corner-sharing octahedral tilt angles are 0°. Both Pr–Ru bond lengths are 2.93 Å. There are a spread of Pr–I bond distances ranging from 3.27–3.47 Å. Ru is bonded to six Pr atoms to form edge-sharing RuPr6 octahedra. There are three inequivalent I sites. In the first I site, I is bonded in a square co-planar geometry to four equivalent Pr atoms. In the second I site, I is bonded in a distorted see-saw-like geometry to four Pr atoms. In the third I site, I is bonded in a distorted T-shaped geometry to three Pr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na(Pr2Se3)4 by Materials Project

Na(Pr2Se3)4 crystallizes in the tetragonal I-42d space group. The structure is three-dimensional. Na is bonded to eight Se atoms to form distorted NaSe8 hexagonal bipyramids that share corners with eight equivalent PrSe8 hexagonal bipyramids, edges with four equivalent PrSe8 hexagonal bipyramids, and faces with eight PrSe8 hexagonal bipyramids. There are four shorter (3.05 Å) and four longer (3.29 Å) Na–Se bond lengths. There are three inequivalent Pr sites. In the first Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share corners with two equivalent NaSe8 hexagonal bipyramids, corners with six PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, a faceface with one NaSe8 hexagonal bipyramid, and faces with seven PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.25 Å. In the second Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share corners with eight PrSe8 hexagonal bipyramids, edges with two equivalent NaSe8 hexagonal bipyramids, edges with two equivalent PrSe8 hexagonal bipyramids, and faces with eight PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.22 Å. In the third Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share corners with eight PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, faces with two equivalent NaSe8 hexagonal bipyramids, and faces with six PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.03–3.25 Å. There are three inequivalent Se sites. In the first Se site, Se is bonded to one Na and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeNaPr5 octahedra. The corner-sharing octahedra tilt angles range from 14–52°. In the second Se site, Se is bonded to one Na and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeNaPr5 octahedra. The corner-sharing octahedra tilt angles range from 19–50°. In the third Se site, Se is bonded to six Pr atoms to form a mixture of distorted edge, face, and corner-sharing SePr6 octahedra. The corner-sharing octahedra tilt angles range from 16–52°.

36 MATERIALS SCIENCE↗

Materials Data on Pr6Fe13Ag by Materials Project

Pr6Fe13Ag crystallizes in the tetragonal I4/mcm space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two equivalent Ag atoms. There are a spread of Pr–Fe bond distances ranging from 2.97–3.33 Å. Both Pr–Ag bond lengths are 3.39 Å. In the second Pr site, Pr is bonded in a 5-coordinate geometry to twelve Fe and one Ag atom. There are a spread of Pr–Fe bond distances ranging from 3.04–3.26 Å. The Pr–Ag bond length is 3.40 Å. There are four inequivalent Fe sites. In the first Fe site, Fe is bonded to twelve Fe atoms to form a mixture of corner and face-sharing FeFe12 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.40–2.55 Å. In the second Fe site, Fe is bonded to two equivalent Pr and ten Fe atoms to form a mixture of corner and face-sharing FePr2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.48–2.64 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.51–2.73 Å. In the fourth Fe site, Fe is bonded to five Pr and seven Fe atoms to form a mixture of distorted corner and face-sharing FePr5Fe7 cuboctahedra. The Fe–Fe bond length is 2.60 Å. Ag is bonded in a distorted q6 geometry to ten Pr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr6Fe13Au by Materials Project

Pr6Fe13Au is Hexagonal Laves-derived structured and crystallizes in the tetragonal I4/mcm space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two equivalent Au atoms. There are a spread of Pr–Fe bond distances ranging from 2.98–3.33 Å. Both Pr–Au bond lengths are 3.36 Å. In the second Pr site, Pr is bonded in a 1-coordinate geometry to twelve Fe and one Au atom. There are a spread of Pr–Fe bond distances ranging from 3.06–3.26 Å. The Pr–Au bond length is 3.33 Å. There are four inequivalent Fe sites. In the first Fe site, Fe is bonded to two equivalent Pr and ten Fe atoms to form a mixture of face and corner-sharing FePr2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.40–2.64 Å. In the second Fe site, Fe is bonded to five Pr and seven Fe atoms to form a mixture of distorted face and corner-sharing FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.51–2.60 Å. In the third Fe site, Fe is bonded to twelve Fe atoms to form a mixture of face and corner-sharing FeFe12 cuboctahedra. All Fe–Fe bond lengths are 2.45 Å. In the fourth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. The Fe–Fe bond length is 2.74 Å. Au is bonded in a distorted q6 geometry to ten Pr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr3(AgSn)4 by Materials Project

Pr3Ag4Sn4 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 8-coordinate geometry to four Ag and four Sn atoms. There are two shorter (3.29 Å) and two longer (3.30 Å) Pr–Ag bond lengths. There are two shorter (3.28 Å) and two longer (3.42 Å) Pr–Sn bond lengths. In the second Pr site, Pr is bonded to eight Ag and four Sn atoms to form distorted face-sharing PrAg8Sn4 cuboctahedra. There are four shorter (3.43 Å) and four longer (3.44 Å) Pr–Ag bond lengths. There are two shorter (3.06 Å) and two longer (3.32 Å) Pr–Sn bond lengths. There are two inequivalent Ag sites. In the first Ag site, Ag is bonded in a 8-coordinate geometry to four Pr and four Sn atoms. There are two shorter (2.93 Å) and two longer (3.07 Å) Ag–Sn bond lengths. In the second Ag site, Ag is bonded in a 8-coordinate geometry to four Pr and four Sn atoms. There are two shorter (2.92 Å) and two longer (3.06 Å) Ag–Sn bond lengths. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a 7-coordinate geometry to three Pr and four Ag atoms. In the second Sn site, Sn is bonded in a 1-coordinate geometry to three Pr, four Ag, and one Sn atom. The Sn–Sn bond length is 2.81 Å.

36 MATERIALS SCIENCE↗

Materials Data on Pr6Fe13Pb by Materials Project

Pr6Fe13Pb crystallizes in the tetragonal I4/mcm space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two equivalent Pb atoms. There are a spread of Pr–Fe bond distances ranging from 3.01–3.37 Å. Both Pr–Pb bond lengths are 3.43 Å. In the second Pr site, Pr is bonded in a 5-coordinate geometry to twelve Fe and one Pb atom. There are a spread of Pr–Fe bond distances ranging from 3.04–3.27 Å. The Pr–Pb bond length is 3.52 Å. There are four inequivalent Fe sites. In the first Fe site, Fe is bonded to twelve Fe atoms to form a mixture of face and corner-sharing FeFe12 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.41–2.54 Å. In the second Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.49–2.73 Å. In the third Fe site, Fe is bonded to two equivalent Pr and ten Fe atoms to form a mixture of face and corner-sharing FePr2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.52–2.64 Å. In the fourth Fe site, Fe is bonded to five Pr and seven Fe atoms to form a mixture of distorted face and corner-sharing FePr5Fe7 cuboctahedra. The Fe–Fe bond length is 2.59 Å. Pb is bonded in a distorted q6 geometry to ten Pr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr4MgRu by Materials Project

MgPr4Ru crystallizes in the cubic F-43m space group. The structure is three-dimensional. Mg is bonded to three equivalent Mg and nine Pr atoms to form a mixture of corner and face-sharing MgPr9Mg3 cuboctahedra. All Mg–Mg bond lengths are 3.17 Å. There are three shorter (3.47 Å) and six longer (3.68 Å) Mg–Pr bond lengths. There are three inequivalent Pr sites. In the first Pr site, Pr is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mg and two equivalent Ru atoms. Both Pr–Ru bond lengths are 3.63 Å. In the second Pr site, Pr is bonded in a bent 150 degrees geometry to two equivalent Mg and two equivalent Ru atoms. Both Pr–Ru bond lengths are 2.88 Å. In the third Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Mg and three equivalent Ru atoms. All Pr–Ru bond lengths are 2.97 Å. Ru is bonded in a 6-coordinate geometry to nine Pr atoms.

36 MATERIALS SCIENCE↗